230 LearnersLast updated on May 26th, 2025
LCM of 40 ad 60
LCM is applied in everyday situations like setting alarms, synchronizing traffic lights and making music. In this article we will learn about the LCM of 40 and 60.
What is the LCM of 40 and 60?
The LCM of 40 and 60 is 120.
Let us learn how to find and apply it.
How to find the LCM of 40 and 60?
We can find the LCM of 40 and 60 using,
- Listing multiples method
- Prime factorization method
- Division method
LCM of 40 and 60 using the Listing multiples method
In this method, we just list down the multiples of the numbers till we land at the first common multiple which is the smallest multiple or the LCM of the numbers.
In the case of 40 and 60,
40 = 40,80,120,...
60= 60,120,...
LCM(40,60) = 120
LCM of 40 and 60 using the prime factorization method
The numbers are factorized and their highest powers are multiplied to find the LCM
Prime factorization of -
40 = 2×2×2×5
60 = 2×3×2×5
LCM(40,60) = 120
LCM of 40 and 60 using the division method
Follow these steps to find LCM using this method;
1.Write the numbers in a row
2.Proceed with dividing the numbers with a factor that can be divisible by at least one of the numbers
3.Carry forward the numbers that haven’t been divided earlier
4.Continue division till the remainder is 1
5.Multiply the divisors in the first column to find the LCM
LCM(40,60) = 120
Common mistakes and how to avoid them in LCM of 40 and 60
Here are a few common mistakes one is likely to make while trying to find the LCM.
Mistake 1
Errors in prime factorization
40 can be incorrectly prime factorized as 2×2×5 which is not equal to 40, and may proceed working towards finding the LCM which will give an incorrect result.
LCM of 40 and 60 Examples
Problem 1
In a machine two gears are working together. One of them completes a revolution in 40 seconds and the other does it in 60 seconds. When will they both be back at the starting position and how many revolutions will the gears complete in that time?
Prime factorization of -
40 = 2×2×2×5
60 = 2×3×2×5
LCM(40,60) = 120
LCM of 40 and 60 = 120
Number of revolutions = Machine 1 → 40/120 = 3 revolutions
Machine 2→ 60/120 = 2 revolutions
Explanation
We find when the gears will be back by finding the LCM and the number of revolutions by just dividing the LCM by the time taken for a single revolution.
Problem 2
The red light blinks every 40 seconds and the green light blinks every 60 seconds. If at time t=0 they blinked together, after what percentage of one minute will they blink together?
We find the LCM of 40 and 60 to find the time interval in seconds;
Prime factorization of -
40 = 2×2×2×5
60 = 2×3×2×5
LCM(40,60) = 120
We now convert the seconds to minutes
60 seconds = 1 minute
120 seconds = 2 minutes
Percentage of one minute = 60 seconds / 120 seconds × 100 = 50%
The red and green lights will blink at 50% of the second minute.
Explanation
We find the LCM and convert the result into a percentage of a minute to find how often the blinking of the lights will coincide.
Problem 3
HCF(40,60) = 20. Verify the relationship between LCM, HCF, and the product of the numbers.
To verify the relationship we use;
LCM= 120, HCF=20
HCF(a,b)×LCM(a,b)=a×b
20×120=40×60
2400 = 2400
Explanation
The LHS = RHS, the relationship stands true.
FAQs on the LCM of 40 and 60
1.What is the HCF of 40 and 60?
2.Find the LCM of 40,45 and 60.
3.Find the LCM of 48 and 60.
4.What is the LCM of 17 and 18?
5.What is the LCM of 42 and 63?
6.How can children in Qatar use numbers in everyday life to understand LCM of 40 ad 60?
7.What are some fun ways kids in Qatar can practice LCM of 40 ad 60 with numbers?
8.What role do numbers and LCM of 40 ad 60 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve LCM of 40 ad 60 skills?
Important glossaries for the LCM of 40 and 60
- Multiple : product of a number and a natural integer
- Prime factor : number one gets after prime factorizing any given number
- Prime factorization : the process of breaking the number into its prime factors.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
